Warm-up A spherical balloon is being blown up at a rate of 10 cubic in per minute. What rate is radius changing when the surface area is 20 in squared.

Table of Contents 18. Section 3.11 Related Rates continued

Cone example Water runs into conical tank at rate of 9 cubic feet per min. The tank stands point down and has a height of 10 ft and radius of 5 feet. How fast is water level rising when water is 6 feet deep? Need to use similar triangle to find radius with respect to height (there are too many unknown variables).

Example cont.

Sliding ladder A 25 ft long ladder is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 ft/sec. a) How fast is the top moving down the wall when the base of the ladder is 7 feet from the wall?

Sliding ladder cont. b) How fast is the area of the triangle made with the ladder, wall and ground changing at this instant?

Sliding ladder cont. c) How fast is the angle between the ladder and the wall changing at this instant?

Shadow ebraCalculus/derivative_app_rr_streetlam p.htmlhttp://webspace.ship.edu/msrenault/GeoG ebraCalculus/derivative_app_rr_streetlam p.html A boy on a skateboard rolls away from a 15-ft lamppost at a speed of 3 ft/s. The boy's height on the skateboard is 6 feet. At what speed is the tip of his shadow increasing?

Assignment Pg. 204: #10, 11, 14, 18, 19-21, 25, 31, 37